Affiliations: School of Mechanical Engineering and Automation,
Northeastern University, Shenyang 110004, China | Faculty of Engineering, University of Wollongong,
Wollongong, NSW 2522, Australia
Abstract: The paper focuses on the quantitative analysis of the coupling
dynamic characteristics of two non-identical exciters in a non-resonant
vibrating system. The load torque of each motor consists of three items,
including the torque of sine effect of phase angles, that of coupling sine
effect and that of coupling cosine effect. The torque of frequency capture
results from the torque of coupling cosine effect, which is equal to the
product of the coupling kinetic energy, the coefficient of coupling cosine
effect, and the sine of phase difference of two exciters. The motions of the
system excited by two exciters in the same direction make phase difference
close to π and that in opposite directions makes phase difference close to
0. Numerical results show that synchronous operation is stable when the
dimensionless relative moments of inertia of two exciters are greater than zero
and four times of their product is greater than the square of their coefficient
of coupling cosine effect. The stability of the synchronous operation is only
dependent on the structural parameters of the system, such as the mass ratios
of two exciters to the vibrating system, and the ratio of the distance between
an exciter and the centroid of the system to the equivalent radius of the
system about its centroid.
Keywords: Self-synchronization, vibration system, frequency capture, vibratory synchronous transmission, stability
